For a given rectangle the length equal 3x + 2 and the width equal 5 what is the area of the rectangle

15x + 10.

Step-by-step explanation:

To find the area of a rectangle, recall the formula is A = l * w. Therefore:

A = (3x + 2) (5)

Distribute the '5':

A = 15x + 10

Therefore, the area of the rectangle of 15x + 10.

15x+10 units ^2

Step-by-step explanation:

The area of a rectangle can be found using:

A = l * w

The length of the rectangle is 3x+2 and the width is 5.

l=3x+2

w=5

Substitute these values into the formula.

A = 3x+2 * 5

This can be rewritten as: (Commutative property of Multiplication)

A = 5 * 3x+2

A = 5 (3x+2)

Distribute the 5. Multiply each term inside the parentheses by the number outside the parentheses.

A = (5*3x) + (5*2)

A = 15x + 10

A = 15x+10 units^2

The area of the rectangle is 15x+10 square units.